benchmarkfcns.mielecantrell

benchmarkfcns.mielecantrell(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of the Miele-Cantrell benchmark function. SCORES = mielecantrell(X) computes the value of the function at point X. mielecantrell accepts a matrix of size M-by-4 and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0

  • Location of global minimum: (0, 1, 1, 1)

  • Number of dimensions: 4

  • Recommended domain: [-1, 1]^4

  • Modality: Multimodal

Mathematical Definition

\[f(x_1, x_2, x_3, x_4) = (e^{x_1} - x_2)^4 + 100(x_2 - x_3)^6 + [\tan(x_3 - x_4)]^4 + x_1^8\]

Visualization

No visualization available for this function.